Zevachim10: 3
הַבְּכוֹר קוֹדֵם לַמַּעֲשֵׂר, מִפְּנֵי שֶׁקְּדֻשָּׁתוֹ מֵרֶחֶם וְנֶאֱכָל לַכֹּהֲנִים. הַמַּעֲשֵׂר קוֹדֵם לָעוֹפוֹת, מִפְּנֵי שֶׁהוּא זֶבַח וְיֵשׁ בּוֹ קָדְשֵׁי קָדָשִׁים — דָּמוֹ וְאֵמוּרָיו.
The bechor-offering precedes the maaseroffering because its sanctity begins at birth and it is eaten by the Kohanim. The maaser-offering precedes bird [offerings] because it is slaughtered and it has [parts which are] most holy — its blood and sacrificial parts.